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Finding the Third Proportional to 27,829 and 61,661

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Solution

The third proportional to 27,829 and 61,661 is: 136,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829 : 61,661 = 61,661 : x
  2. Step 2: Convert to fraction form
    27,829/61,661 = 61,661/x
  3. Step 3: Cross multiply
    27,829x = 61,661 × 61,661
  4. Step 4: Simplify right side
    27,829x = 3,802,078,921
  5. Step 5: Solve for x
    x = 3,802,078,921/27,829
  6. Step 6: Final answer
    x = 136,622.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.